TY - JOUR

T1 - Landscape of supersymmetry breaking vacua in geometrically realized gauge theories

AU - Ooguri, Hirosi

AU - Ookouchi, Yutaka

N1 - Funding Information:
This research is supported in part by DOE grant DE-FG03-92-ER40701. Y.O. is also supported in part by the JSPS Fellowship for Research Abroad. We would like to thank Tom Banks, Michael Dine, Michael Graesser, Ken Intriligator, Yu Nakayama, Masaki Shigemori, David Shih, Yuji Tachikawa, Taizan Watari, and Futoshi Yagi for discussions.

PY - 2006/10/30

Y1 - 2006/10/30

N2 - We study vacuum structure of N = 1 supersymmetric quiver gauge theories which can be realized geometrically by D-brane probes wrapping cycles of local Calabi-Yau three-folds. In particular, we show that the A2 quiver theory with gauge group U (N1) × U (N2) with frac(1, 2) N1 < N2 < frac(2, 3) N1 has a regime with an infrared free description that is partially magnetic and partially electric. Using this dual description, we show that the model has a landscape of inequivalent meta-stable vacua where supersymmetry is dynamically broken and all the moduli are stabilized. Each vacuum has distinct unbroken gauge symmetry. The gaugino masses are generated by radiative corrections, and we are left with the bosonic pure Yang-Mills theory in the infrared. We also identify the supersymmetric vacua in this model using their infrared free descriptions and show that the decay rates of the supersymmetry breaking vacua can be made parametrically small.

AB - We study vacuum structure of N = 1 supersymmetric quiver gauge theories which can be realized geometrically by D-brane probes wrapping cycles of local Calabi-Yau three-folds. In particular, we show that the A2 quiver theory with gauge group U (N1) × U (N2) with frac(1, 2) N1 < N2 < frac(2, 3) N1 has a regime with an infrared free description that is partially magnetic and partially electric. Using this dual description, we show that the model has a landscape of inequivalent meta-stable vacua where supersymmetry is dynamically broken and all the moduli are stabilized. Each vacuum has distinct unbroken gauge symmetry. The gaugino masses are generated by radiative corrections, and we are left with the bosonic pure Yang-Mills theory in the infrared. We also identify the supersymmetric vacua in this model using their infrared free descriptions and show that the decay rates of the supersymmetry breaking vacua can be made parametrically small.

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U2 - 10.1016/j.nuclphysb.2006.08.009

DO - 10.1016/j.nuclphysb.2006.08.009

M3 - Article

AN - SCOPUS:33749259119

VL - 755

SP - 239

EP - 253

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-3

ER -